\section{Motivation}

\begin{framenologo}
  \frametitle{Motivation}
  \tableofcontents[currentsection]
\end{framenologo}


\begin{framenologo}
  \frametitle{Motivation}
  \framesubtitle{Current era --- Silicon}

  \begin{columns}
    \begin{column}{.5\linewidth}
      \begin{itemize}

        \item Silicon a governing material in electronics

        \item Transistors have scaled immensely in the last 4 decades

        \item Everyday use in all areas of our lives

        \vskip 1em
        \item IBM latest technology at \SI{2}{nm}
        
        \item Countable number of atoms! $\le30$
        \vskip 2em
        \item<2-> Problems 

        \begin{itemize}
          \item Features reaching single atoms
          \item Energy waste, heat
          \item Stability for small devices
        \end{itemize}

        \vskip 2em

        \item<3-> What is next?

        \begin{itemize}
          \item Further silicon development $+$ additional enhancers
          \item Molecular electronics
          \item Graphene electronics
        \end{itemize}

      \end{itemize}
    \end{column}
    \begin{column}{.5\linewidth}
      \begin{tikzpicture}[n/.style={anchor=west}]

        \node[n] (H) at (2,3)
        {\incg[width=3cm]{human-hair}};
        \node[n] at (H.east) {\SIrange{50}{100}{\micro\metre}};
        
        \node[n] (B) at (2,1)
        {\incg[width=3cm]{red_blood_cell}};
        \node[n] at (B.east) {\SI{7.5}{\micro\metre}};

        \node[n] (B) at (2,-1)
        {\incg[width=2cm,rotate=90]{45nm_die_dualcore}};

        \node[n] at (1,-4)
        {\incg[width=7cm]{transistors-were-people}};
        
      \end{tikzpicture}
      
    \end{column}
  \end{columns}

  \doicite{Intel Homepage}

\end{framenologo}

\subsection{Transport properties of atomistic systems}

\begin{frame}[fragile]
  \frametitle{Calculating transport properties of atomistic systems}
  
  \begin{center}
    Steady-state transport properties?
  \end{center}

  \begin{columns}
    \begin{column}{.5\linewidth}
      \incg[clip,trim=0pt 0pt 0pt
      20cm,width=.8\linewidth]{10-1126-science-1144657-1}
    \end{column}
    \begin{column}{.5\linewidth}
      \incg[width=.8\linewidth]{10-1021-nl202065-4}
    \end{column}
  \end{columns}

  \begin{center}
    \uncover<2->{%
        \incg[height=5cm]{tbt-nterminal}
    }
  \end{center}
  
  \uncover<3->{%
      \begin{tikzpicture}[remember picture,overlay]
        \node[rotate=30,inner sep=20cm,anchor=mid,
        fill=white,opacity=.7,text width=20cm,align=center,
        text opacity=1] at (current page.center) 
        {\huge We need a scalable computational model!\\
            And \dots how to model non-equilibrium?};
      \end{tikzpicture}
  }

  \doicite{Williams \etal: \doi{10.1126/science.1144657}, Prins \etal: \doi{10.1021/nl202065x}}

\end{frame}


\begin{framenologo}
  \frametitle{Calculating transport properties of atomistic systems}
  
  \begin{center}
    Steady-state transport properties?
  \end{center}
  
  \begin{columns}
    \begin{column}{.5\linewidth}
      \incg[clip,trim=0pt 0pt 0pt
      20cm,width=.8\linewidth]{10-1126-science-1144657-1}
    \end{column}
    \begin{column}{.5\linewidth}
      \incg[width=.8\linewidth]{10-1021-nl202065-4}
    \end{column}
  \end{columns}
  
  \begin{columns}
    \begin{column}{.6\linewidth}
      \begin{block}{Simulation tool requirements}
        \begin{itemize}
          \item Systems under non-equilibrium (applied bias)
          \item Large system calculations (incorporate full device)
          \item Multi-electrode devices
        \end{itemize}
      \end{block}

      \begin{center}
        Non-Equilibrium Green function (NEGF)
      \end{center}

    \end{column}
    \begin{column}{.4\linewidth}
      \begin{center}
        \incg[height=5cm]{wos_negf_cite}
      \end{center}
    \end{column}
  \end{columns}

  \doicite{{Williams \etal: \doi{10.1126/science.1144657}, Prins \etal: \doi{10.1021/nl202065x}},%
      WebOfScience (NEGF)}
  
\end{framenologo}

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